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Hochschild Cohomology of the Algebra of Smooth Functions on the Torus
Authors:V. V. Zharinov
Affiliation:(1) Steklov Mathematical Institute, RAS, Moscow, Russia
Abstract:We calculate the Hochschild cohomology of the algebra of smooth functions on a finite-dimensional real torus with coefficients in the adjoint representation, generalizing the previously developed technique to the discrete case for this.__________Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 3, pp. 435–452, September, 2005.
Keywords:Hochschild cohomology  adjoint representation  de Rham complex on an integer lattice
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